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What is the gradient of the curve y = 2x^3 at the point (2,2)?

Firstky differentiate to gain an equation for the gradient.Differentiating gives:dy/dx = 6x²Insert x = 2 into the above equation to find the gradient at that particular point of the curve.When ...

Answered by Emily R. • Maths tutor

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Show that the curve y =f(x) has exactly two turning points, where f(x)= x^3 - 3x^2 - 24x - 28

This question is about turning points of a curve, these occur when the gradient of a line is zero. In its current form, the equation of the curve tells us nothing about the gradient of the curve; it must ...

Answered by Joshua A. • Maths tutor

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Provide one reason why a business may decide to create a sales forecast.

One reason a business may decide to create a sales forecast is the fact that it can help a bank decide whether it should lend money to a business. Many banks and lenders like to see evidence or at least a...

Answered by Asha A. • Business Studies tutor

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Issy goes to buy some fruit. She has been told by one friend that 2 apples and 3 bananas costs £3.80. She has been told by another friend that 5 apples and a banana costs £3.65. what are the individual costs of an apple and a banana?

To solve this we form two simultaneous equations. To make things easier lets denote apples as A and bananas as B. So this means we can write the above information in two equations like so: EQ1) 2A + 3B = ...

Answered by Kieren H. • Maths tutor

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